You asked
Panasonic leica dg 100 400mm f 4 6 3 ii vs om system 100 400mm f 5 6 3?
Both lenses are 100-400mm zooms for Micro Four Thirds, both are stabilised, both autofocus, and both reach 200-800mm equivalent. The difference is in the aperture. The Panasonic Leica DG 100-400mm f/4-6.3 II is f/4 at 100mm, while the OM System M.Zuiko 100-400mm f/5-6.3 IS II is f/5. At 400mm both drop to f/6.3, so the gap only matters when you're shooting at the short end.
If you want the most light, go with the Panasonic. The site's pages don't give prices or weights, so I can't say which is cheaper or lighter. The Panasonic page also lists far more compatible bodies. For how Micro Four Thirds fits into your choice, see sensor sizes, and for reach in general, see wildlife and sport.
Written by Claude from this site's pages.